Language/Lingua

 Books 3054 · Book News · Most clicked · Least clicked

Search for a Book

## Notes on the Statistical Mechanics of Systems with Long-Range Interactions

 Language:
 Author: David Mukamel
 Format: Ps, Pdf, TeX
 Year: 2009
 Category: Statistical Mechanics
 Pages: 33
 Clicks: 2143

Description
Thermodynamic and dynamical properties of systems with long range pairwise interactions (LRI) which decay as 1/r^{d \sigma} at large distances r in $d$ dimensions are reviewed in these Notes. Two broad classes of such systems are identified: (a) systems with a slow decay of the interactions, termed "strong" LRI, where the energy is super-extensive. These systems are characterized by unusual properties such as inequivalence of ensembles, negative specific heat, slow decay of correlations and ergodicity breaking. And (b) systems with faster decay of the interaction potential where the energy is additive, thus resulting in less dramatic effects. These interaction affect the thermodynamic behavior of systems near phase transitions, where long range correlations are naturally present. Long range correlations are often present in systems driven out of equilibrium when the dynamics involves conserved quantities. Steady state properties of driven systems are considered within the framework outlined above.

Similar Books
 Meccanica statistica Trattatello di Meccanica Statistica Statistical Mechanics. A short treatise Critical Phenomena: An Introduction from a modern perspective Thermal and Statistical Physics Aspects of the ergodic, qualitative,statistical theory of motion Introduction to thermodynamics of spin models Lecture Notes in Statistical Mechanics Statistical mechanics II Statistical Mechanics in a Nutshell Statistical Physics Statistical Mechanics: Entropy, Order Parameters, and Complexity Exactly Solved Models in Statistical mechanics Mecanique Statistique Simulation numérique en physique statistique Thermodynamics & Statistical Mechanics Statistical Mechanics The large deviation approach to statistical mechanics Fluctuation-Dissipation: Response Theory in Statistical Physics A Field Guide to Recent Work on the Foundations of Statistical Mechanics Determination of phase diagrams via computer simulation: Methodology and applications to water, electrolytes and proteins Spin Ice Statistical Physics On the Statics and Dynamics of Magneto-Anisotropic Nanoparticles Statistical mechanics and dynamics of solvable models with long-range interactions Information Theory and Statistical Physics - Lecture Notes Time-related issues in statistical mechanics Introduction to the field theory of classical and quantum phase transitions Physique statistique des processus irréversibles Statistical mechanics Statistical Physics Statistica Mechanics Percolation Theory A basic introduction to large deviations: Theory, applications, simulations Lecture Notes in Statistical Mechanics and Mesoscopics Statistical Mechanics Statistical Physics of Fracture, Friction and Earthquake Universal scaling relations for logarithmic-correction exponents Statistical Physics Fluctuation-Dissipation: Response Theory in Statistical Physics Lectures on Statistical Physics Statistical Mechanifesto Statistical Physics: a Short Course for Electrical Engineering Students Fluctuation-Dissipation: Response Theory in Statistical Physics Lecture Notes in Thermal Physics Statistical Mechanics Entropy, Order Parameters, and Complexity Modern Statistical Mechanics

Home |  Authors | About | Contact Us |  Email